International Journal of Fracture

, Volume 59, Issue 2, pp 151–160 | Cite as

A new look at energy release rates for quasistatically propagating cracks in inelastic materials

  • Ralf Peek
  • Xiaomin Deng


A mapping technique is used to derive an integral expression for the energy release rate for a quasistatically propagating crack. The derivation does not depend on any assumptions in regard to the contitutive behavior of the material. It leads to a contour integral around the crack tip, plus an area integral over the region enclosed by this contour. Only the stress and displacement fields appear in the integrands. Although for stationary crack solutions known to the authors the area integral is not convergent, for propagating crack solutions in elastoplastic material, the integrals are convergent, and lead to zero energy release rate. This confirms conclusions by Rice from an independent point of view.


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Ralf Peek
    • 1
  • Xiaomin Deng
    • 2
  1. 1.College of EngineeringUniversity of MichiganAnn ArborUSA
  2. 2.Department of Mechanical EngineeringUniversity of South CarolinaColumbiaUSA

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